各种随机Koch曲线岛统计维数的分析  

Analysis on the statistical dimensions of various random Koch curve islands

作　　者：李玉清[1,2] 赵咏秋 李蓬[1,2] 冯永和[1,2] 

机构地区：[1]大冶特殊钢股份有限公司技术中心 [2]北京航空航天大学

出　　处：《中国体视学与图像分析》1998年第1期8-14,共7页Chinese Journal of Stereology and Image Analysis

摘　　要：研究了随机变量分布区间（ａ，１／３）对三类随机Ｋｏｃｈ曲线岛系列的统计维数的影响，初始图形边长的扩大倍数Ｍ（Ｍ≥１或＜１）同组合岛系列统计维数和相应ｌｇＰ－ｌｇＡ回归直线截距的关系，及初始图形为正ｎ边形的岛系列的统计维数和回归直线的截距随ｎ的变化规律。The effect of random variable distribution (a,1/3)on statistical dimension for the three kinds of random Koch curve islands was studied.The relations among the magnification M(M≥1 or <1)of the primary side length,the statistical dimension of composite island series and the correspondent intercept of lgP-lgA regression line was analysed. The variation of both the statistical dimension and the intercept of lgP-lgA regression line with a change of parameter n was also discussed.

关 键 词：随机Koch曲线岛 随机变量 边长效应 形状效应 统计维数 金属断口 

分 类 号：TG115[金属学及工艺—物理冶金] O212[金属学及工艺—金属学]